Question

The product of two consecutive even integers is 168. What are the integers?
Consecutive means one after the other. And they are even, so they could be 2 and ..//


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Answer 1

Answer:

The product of two consecutive even integers is 168.

The integers are 12 and 14 .

Answer 2

Question -:

The product of two consecutive even integers is 168. What are the integers?

Consecutive means one after the other. And they are even, so they could be 2 and 4, or 4 and 6, etc.

$Answer$

We will call the smaller integer n, and so the larger integer must be n+2

And we are told the product (what we get after multiplying) is 168, so we know:

n(n + 2) = 168

We are being asked for the integers

Solve:

• Start with: n(n + 2) = 168
• Expand: n2 + 2n = 168
• Subtract 168 from both sides:
• n2 + 2n − 168 = 0

• That is a Quadratic Equation, and there are many ways to solve it.
• Using the Quadratic Equation Solved we get −14 and 12.

Hope it's helpful for you .